How do you factor 8x^2+2xb?

Apr 6, 2016

$\implies 2 x \left(4 x + b\right)$

Explanation:

You look for common values and variables.

Both terms have $2 x$ as a common factor. Lets see what this looks like:

$\implies 2 x \left(4 x + b\right)$

There are no more common factors. However, if you were pushed you could factor out the 4 but in doing so you would need to incorporate a correction in the form of $\frac{1}{4}$. Let me show you what I mean:

$\implies 2 x \times 4 \left(x + \frac{b}{4}\right)$ However, I can not see any benefit in doing this!